Weekly problem papers, with notes. [With] Solutions1885 |
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Side vi
... moves subject to certain conditions . The problems bearing upon these two subjects are extremely interesting , although hints as to their treatment are seldom to be met with . My thanks are due to my former pupils and to my other ...
... moves subject to certain conditions . The problems bearing upon these two subjects are extremely interesting , although hints as to their treatment are seldom to be met with . My thanks are due to my former pupils and to my other ...
Side 23
... moves along OA it is required to find the envelope of a line through R perpendicular to PB . Describe a circle so as to touch OA in O and pass through B. Let BE be the diameter through B , so that E is a fixed point . Join PE cutting ...
... moves along OA it is required to find the envelope of a line through R perpendicular to PB . Describe a circle so as to touch OA in O and pass through B. Let BE be the diameter through B , so that E is a fixed point . Join PE cutting ...
Side 24
... move it until it is on the point of falling . Then move forward the one immediately below it until it is on the point of falling , and so When the lowest card projects as far as possible from the table , it is evident that the highest ...
... move it until it is on the point of falling . Then move forward the one immediately below it until it is on the point of falling , and so When the lowest card projects as far as possible from the table , it is evident that the highest ...
Side 86
... move along the line PD . Then we have to find the point on this line for which 2 + y2 is a minimum subject to the condition that ax + by is constant . Now ( ax + by ) 2 + ( bx − ay ) 2 = ( a2 + b2 ) ( x2 + y2 ) , - x2 + y2 is a minimum ...
... move along the line PD . Then we have to find the point on this line for which 2 + y2 is a minimum subject to the condition that ax + by is constant . Now ( ax + by ) 2 + ( bx − ay ) 2 = ( a2 + b2 ) ( x2 + y2 ) , - x2 + y2 is a minimum ...
Side 98
... t . Then when Tt is a min . Tt = T't ' , where T't ' is the consecutive position of Tt , i.e. Tt moves at this stage as if it were a line of constant length sliding between two rectangular axes . Draw TR , tR 98 SOLUTIONS OF.
... t . Then when Tt is a min . Tt = T't ' , where T't ' is the consecutive position of Tt , i.e. Tt moves at this stage as if it were a line of constant length sliding between two rectangular axes . Draw TR , tR 98 SOLUTIONS OF.
Vanlige uttrykk og setninger
a+b+c ABCD axis bisects the angle Cambridge centre chord circle round circle will go circum-circle Clifton College coef College conic const coordinates cos² cosec Crown 8vo denote diameter directrix draw Edition ellipse envelope equal equation Fcap fixed point geometrical given expression hyperbola inscribed circle intersect Join Let ABC Let the tangent locus Mathematics meet middle point Monday afternoon morning nine-point circle nth term orthocentre PAPER parabola parallel perpendicular plane Professor quadrilateral radical axis radius right angles shew shewn sides Similarly sin² sin³ straight line tan² tangent Todh triangle Trinity College Tripos velocity vertex vertical
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